Doubly Stochastic Resonance

A. A. Zaikin; J. Kurths; L. Schimansky-Geier

doi:10.1103/PhysRevLett.85.227

Doubly Stochastic Resonance

A. A. Zaikin, J. Kurths, and L. Schimansky-Geier

Phys. Rev. Lett. 85, 227 – Published 10 July 2000

Abstract

We report the effect of doubly stochastic resonance which appears in nonlinear extended systems if the influence of noise is twofold: A multiplicative noise induces bimodality of the mean field of the coupled network and an independent additive noise governs the dynamic behavior in response to small periodic driving. For optimally selected values of the additive noise intensity stochastic resonance is observed, which is manifested by a maximal coherence between the dynamics of the mean field and the periodic input. Numerical simulations of the signal-to-noise ratio and theoretical results from an effective two state model are in good quantitative agreement.

Received 9 November 1999

DOI:https://doi.org/10.1103/PhysRevLett.85.227

Authors & Affiliations

A. A. Zaikin¹, J. Kurths¹, and L. Schimansky-Geier²

¹Institute of Physics, University of Potsdam, Am Neuen Palais 10, 14469 Potsdam, Germany
²Institute of Physics, Humboldt University at Berlin, Invalidenstraße 110, 10115 Berlin, Germany